A community for students.
Here's the question you clicked on:
 0 viewing
zipp
 2 years ago
I'm new to trigonometry. Can someone help me. Convert each angle in degrees to radians. Express your answer as a multiple of π. 240°.
zipp
 2 years ago
I'm new to trigonometry. Can someone help me. Convert each angle in degrees to radians. Express your answer as a multiple of π. 240°.

This Question is Closed

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0to change degree to radian just multiply by \(\frac{\pi}{180}\)

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0hint: 180 degrees = pi radians

Hero
 2 years ago
Best ResponseYou've already chosen the best response.0Whatever the angle is, multiply it by \(\frac{\pi}{180}\)

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Alright. Radians can be very simple once you understand what you're doing. You're basically multiplying by a conversion factor. Conversion factors always have a value of 1. For instance, \(\LARGE\frac{1 m}{100cm}\) is a conversion factor. The conversion factor you use here is \(\LARGE\frac{π}{180º}\) and \(\LARGE \frac{180º}{π}\). It varies depending on which one you are doing. \(\LARGE\frac{π}{180º} \)is used to convert from degrees to radians. \(\LARGE \frac{180º}{π}\) is used to convert radians to degrees. Here's what happens in each case. Let's say we have 2π and we're trying to convert it to degrees. \[\frac{2π}{1} \times \frac{180º}{π} \implies 2\cancel{π} \times \frac{180º}{\cancel{π}} \implies 360º\]Now let's say you have 360º and you need to convert it to radians. \[360º \times \frac{π}{180º} \implies 360\cancel{º} \times \frac{π}{180\cancel{º}} \implies \frac{360π}{180} \implies 2π\]Do you see how to do it now?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.